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TWiki> CfdTm Web>TestCase019 (2011-11-02, JuanUribe)

TWiki> CfdTm Web>TestCase019 (2011-11-02, JuanUribe)

*Type: Experimental*

*Status*:

In the first configuration, case A, a single hill is mounted on the bottom of the channel. In the second one, case B, a periodic flow is achieved over a series of consecutive hills mounted at the same location. The channel height is H = 170 mm and the maximum height and length of each hill are respectively hmax = 28 mm and 2R = 108 mm. In the case of consecutive hills, the space between each of them is 4.5hmax.

The shape of the hills was to be the inverse of a fourth-order polynomial but the actual shape is a bit different. The actual values of the height h(x) of the two-dimensional hills are given by:

Between x=0. and x=9.
h(x)=min(28.,
2.800000000000E+01 +0.000000000000E+00*x
+6.775070969851E-03*x^2 -2.124527775800E-03*x^3
)

Between x=9. and x=14.
h(x)= 2.507355893131E+01 +9.754803562315E-01*x
-1.016116352781E-01*x^2 +1.889794677828E-03*x^3

Between x=14. and x=20.
h(x)= 2.579601052357E+01 +8.206693007457E-01*x
-9.055370274339E-02*x^2 +1.626510569859E-03*x^3

Between x=20. and x=30.
h(x)= 4.046435022819E+01 -1.379581654948E+00*x
+1.945884504128E-02*x^2 -2.070318932190E-04*x^3

Between x=30. and x=40.
h(x)= 1.792461334664E+01 +8.743920332081E-01*x
-5.567361123058E-02*x^2 +6.277731764683E-04*x^3

Between x=40. and x=54.
h(x)=max(0.,
5.639011190988E+01 -2.010520359035E+00*x
+1.644919857549E-02*x^2 +2.674976141766E-05*x^3
)

- Water with a kinematic viscosity: nu = 1×10-6 m2/s.
- Mean centreline velocity at inlet: Uo = 2.147 m/s.
- Reynolds number: Uo h/nu = 60,000.

The experimental data can be downloaded from the ERCOFTAC test case database:

- Hill description:

- ALMEIDA, G.P., DURAO, D.F.G. & HEITOR, M.V. (1992). Wake flows behind two dimensional model hills. Exp. Thermal and Fluid Science, 7, p.87
- ALMEIDA, G.P., DURAO, D.F.G., SIMOES J.P. & HEITOR, M.V. (1990). Laser-Doppler measurements of fully developed turbulent channel flow. Proc. 5th Symp. Appl Laser Techniques to Fluid Meet., pp. 5-12
- SNYDER, W.H. & HUNT, J.C.R. (1980). Experiments on stably and neutrally stratified flow over a model three-dimensional hill. Journal Fluids Mechanics, Vol. 96, pp. 671-704
- CASTRO, J.P. & HAQUE, A. (1987). The structure of a turbulent shear layer bounding a separation region. Journal Fluid Mechanics, Vol. 179, pp. 439-468

Code | Version | Author | Restrictions |
---|---|---|---|

Code_Saturne |
1.4.0 |
Juan Uribe | Main.None |

Code_Saturne |
2.0-beta2 |
J. Uribe | AccessEDFGroup |

Number of topics: 2

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I | Attachment | Action | Size | Date | Who | Comment |
---|---|---|---|---|---|---|

png | Picture_1.png | manage | 18.7 K | 2009-05-11 - 10:49 | JuanUribe | Hill description |

Topic revision: r5 - 2011-11-02 - 09:08:53 - JuanUribe

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